Finding the Fourth Proportional to 10,061.71, 13,885.38 and 5,585.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,061.71 : 13,885.38 = 5,585.40 : x
2. Step 2: Convert to fraction form
   10,061.71/13,885.38 = 5,585.40/x
3. Step 3: Cross multiply
   10,061.71x = 13,885.38 × 5,585.40
4. Step 4: Simplify right side
   10,061.71x = 77,555,401.45
5. Step 5: Solve for x
   x = 77,555,401.45/10,061.71
6. Step 6: Final answer
   x = 7,707.97